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Finding the Third Proportional to 135,932 and 319,853

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Solution

The third proportional to 135,932 and 319,853 is: 752,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,932 : 319,853 = 319,853 : x
  2. Step 2: Convert to fraction form
    135,932/319,853 = 319,853/x
  3. Step 3: Cross multiply
    135,932x = 319,853 × 319,853
  4. Step 4: Simplify right side
    135,932x = 102,305,941,609
  5. Step 5: Solve for x
    x = 102,305,941,609/135,932
  6. Step 6: Final answer
    x = 752,625.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.